10741376979216 has 675 divisors, whose sum is σ = 34627941209631. Its totient is φ = 3213009566208.

The previous prime is 10741376979209. The next prime is 10741376979227. The reversal of 10741376979216 is 61297967314701.

The square root of 10741376979216 is 3277404.

It is a perfect power (a square), and thus also a powerful number.

10741376979216 is a `hidden beast` number, since 1 + 0 + 7 + 41 + 376 + 9 + 7 + 9 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5813403210000 + 4927973769216 = 2411100^2 + 2219904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 72089778310 + ... + 72089778458.

Almost surely, 2^{10741376979216} is an apocalyptic number.

10741376979216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10741376979216 is the 3277404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10741376979216

10741376979216 is an abundant number, since it is smaller than the sum of its proper divisors (23886564230415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10741376979216 is an equidigital number, since it uses as much as digits as its factorization.

10741376979216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 10741376979216 in words is "ten trillion, seven hundred forty-one billion, three hundred seventy-six million, nine hundred seventy-nine thousand, two hundred sixteen".